1682804520 has 96 divisors (see below), whose sum is σ = 5483223720. Its totient is φ = 447590400.

The previous prime is 1682804507. The next prime is 1682804569. The reversal of 1682804520 is 254082861.

It can be written as a sum of positive squares in 4 ways, for example, as 1682804484 + 36 = 41022^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138532 + ... + 150188.

Almost surely, 2^1682804520 is an apocalyptic number.

1682804520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682804520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741611860).

1682804520 is an abundant number, since it is smaller than the sum of its proper divisors (3800419200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1682804520 is a wasteful number, since it uses less digits than its factorization.

1682804520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1682804520 is about 41022.0004387889. Note that the first 3 decimals coincide. The cubic root of 1682804520 is about 1189.4455247039.

Subtracting from 1682804520 its sum of digits (36), we obtain a square (1682804484 = 41022²).

The spelling of 1682804520 in words is "one billion, six hundred eighty-two million, eight hundred four thousand, five hundred twenty".